报告地点：行健楼学术活动室526
邀请人：黄益副教授
Abstract: In the statistical study of Hamiltonian PDEs out of the equilibrium (lack of invariant measures), it is a natural question to understand the transport properties for canonical Gaussian measures. The first question is to understand whether Gaussian measures are quasi-invariant, i.e. Gaussian measures push-forward by the flow are equivalent to the original ones. Once we know the Gaussian measures are quasi-invariant, we would like also to understand the property of their Radon-Nikodym densities.
In this colloquium talk, I will review some recent development in this direction for nonlinear Schr\"odinger equations. More precisely, I will explain several strategies of proving quasi-invariant property as well as a consequence of quantitative quasi-invariant property. This talk is based on a joint-paper with Nikolay Tzvetkov, and some ongoing projects.
